Computational model of Fermionic Society: Social polarization study via dynamical mean-field theory

Abstract

We propose a computational model of ‘Fermionic Society’. It is based on the fermionic Hubbard model, which is used for computational study of the Socioeconomic Polarization. For this purpose, a dynamical mean-field theory of the Hubbard model has been implemented in C#. The simulation has been performed for a range of values of the socioeconomic repulsion potential, which forms the polarization vector-field. A brief review of the range of methods used for social science simulation shows other methods currently commonly in use. Newer methods based on or inspired by quantum physics are also briefly reviewed. A Socio-Cognitive sciences perspective is presented to ground the current work in its sociological roots, leading to a discussion on Socioeconomic Polarization with respect to an archetypal socioeconomic problem to illustrate how polarization and depolarization applies to concrete problems.